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Finding the Fourth Proportional to 2,825.76, 3,896.49 and 2,377.52

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Solution

The fourth proportional to 2,825.76, 3,896.49 and 2,377.52 is: 3,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.76 : 3,896.49 = 2,377.52 : x
  2. Step 2: Convert to fraction form
    2,825.76/3,896.49 = 2,377.52/x
  3. Step 3: Cross multiply
    2,825.76x = 3,896.49 × 2,377.52
  4. Step 4: Simplify right side
    2,825.76x = 9,263,982.90
  5. Step 5: Solve for x
    x = 9,263,982.90/2,825.76
  6. Step 6: Final answer
    x = 3,278.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.